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Finding the Third Proportional to 507,844.13 and 743,072.06

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Solution

The third proportional to 507,844.13 and 743,072.06 is: 1,087,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,844.13 : 743,072.06 = 743,072.06 : x
  2. Step 2: Convert to fraction form
    507,844.13/743,072.06 = 743,072.06/x
  3. Step 3: Cross multiply
    507,844.13x = 743,072.06 × 743,072.06
  4. Step 4: Simplify right side
    507,844.13x = 552,156,090,068.00
  5. Step 5: Solve for x
    x = 552,156,090,068.00/507,844.13
  6. Step 6: Final answer
    x = 1,087,255.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.